λ
Harmonic Matrix

7,331,108

22 × 89 × 20593
Deficient Even Composite

7,331,108 has digital root 5. The neighboring primes are 7331083 and 7331111; its proper-divisor sum differs from the starting integer by -1,687,996.

Prime Factor Structure

Factorization String 2^2 × 89 × 20593
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 12,974,220
Proper Divisor Sum 5,643,112
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #7331083 ← → #7331111

Radix Representation

Decimal 7331108
Binary 11011111101110100100100 (23 bits)
Octal 0o33756444
Hexadecimal 0x6FDD24

Divisor Catalog (12)

1 2 4 89 178 356 20,593 41,186 82,372 1,832,777 3,665,554 7,331,108

Collatz Trajectory (204 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

7,331,108 3,665,554 1,832,777 5,498,332 2,749,166 1,374,583 4,123,750 2,061,875 6,185,626 3,092,813 9,278,440 4,639,220 2,319,610 1,159,805 3,479,416 1,739,708 869,854 434,927 1,304,782 652,391 1,957,174 978,587 2,935,762 1,467,881 4,403,644 2,201,822 1,100,911 3,302,734 1,651,367 4,954,102 2,477,051 7,431,154 3,715,577 11,146,732 5,573,366 2,786,683 8,360,050 4,180,025 12,540,076 6,270,038 3,135,019 9,405,058 4,702,529 14,107,588 7,053,794 3,526,897 10,580,692 5,290,346 2,645,173 7,935,520 3,967,760 1,983,880 991,940 495,970 247,985 743,956 371,978 185,989 557,968 278,984

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